Texas Instruments TI-Nspire Reference guide

Reference Guide

This guidebook applies to TI-Nspire™ software version 3.0. To obtain the

latest version of the documentation, go to education.ti.com/guides.

ii

Important Information

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License

Please see the complete license installed in C:\Program Files\TI

Education\TI-Nspire.

iii

Contents

Expression templates

Fraction template ........................................1

Exponent template ...................................... 1

Square root template ..................................1

Nth root template ........................................1

e exponent template ................................... 2

Log template ................................................ 2

Piecewise template (2-piece) .......................2

Piecewise template (N-piece) ......................2

System of 2 equations template .................3

System of N equations template .................3

Absolute value template ............................. 3

dd°mm’ss.ss’’ template ................................3

Matrix template (2 x 2) ................................ 3

Matrix template (1 x 2) ................................ 4

Matrix template (2 x 1) ................................ 4

Matrix template (m x n) ..............................4

Sum template (G) .........................................4

Product template (Π) ................................... 4

First derivative template ............................. 5

Second derivative template ........................5

Definite integral template ..........................5

Alphabetical listing

A

abs() ..............................................................6

amortTbl() ....................................................6

and ................................................................6

angle() .......................................................... 7

ANOVA ......................................................... 7

ANOVA2way ................................................8

Ans ................................................................ 9

approx() ......................................................10

4approxFraction() ....................................... 10

approxRational() ........................................ 10

arccos() ........................................................ 10

arccosh() .....................................................10

arccot() ........................................................ 10

arccoth() .....................................................11

arccsc() ........................................................11

arccsch() ...................................................... 11

arcsec() ........................................................11

arcsech() ...................................................... 11

arcsin() ........................................................ 11

arcsinh() ...................................................... 11

arctan() ....................................................... 11

arctanh() .....................................................11

augment() ...................................................11

avgRC() .......................................................12

B

bal() ............................................................. 12

4Base2 .........................................................12

4Base10 ....................................................... 13

4Base16 ....................................................... 14

binomCdf() .................................................14

binomPdf() .................................................14

C

ceiling() ...................................................... 14

centralDiff() ............................................... 15

char() .......................................................... 15

c

2

2way ........................................................ 15

c

2

Cdf() ........................................................ 16

c

2

GOF ......................................................... 16

c

2

Pdf() ........................................................ 16

ClearAZ ....................................................... 16

ClrErr .......................................................... 17

colAugment() ............................................. 17

colDim() ...................................................... 17

colNorm() ................................................... 17

completeSquare() ...................................... 18

conj() .......................................................... 18

constructMat() ........................................... 18

CopyVar ...................................................... 18

corrMat() .................................................... 19

cos() ............................................................ 19

cos/() .......................................................... 20

cosh() .......................................................... 21

cosh/() ........................................................ 21

cot() ............................................................ 21

cot/() .......................................................... 22

coth() .......................................................... 22

coth/() ........................................................ 22

count() ........................................................ 22

countif() ..................................................... 23

cPolyRoots() ............................................... 23

crossP() ....................................................... 23

csc() ............................................................. 24

csc/() ........................................................... 24

csch() ........................................................... 24

csch/() ......................................................... 24

CubicReg .................................................... 25

cumulativeSum() ........................................ 25

Cycle ........................................................... 26

4Cylind ........................................................ 26

D

dbd() ........................................................... 26

4DD ............................................................. 27

4Decimal ..................................................... 27

Define ......................................................... 27

Define LibPriv ............................................ 28

Define LibPub ............................................ 28

deltaList() ................................................... 29

DelVar ........................................................ 29

delVoid() .................................................... 29

det() ............................................................ 29

diag() .......................................................... 30

dim() ........................................................... 30

Disp ............................................................. 30

4DMS ........................................................... 31

dotP() .......................................................... 31

E

e^() ............................................................. 31

eff() ............................................................. 32

iv

eigVc() .........................................................32

eigVl() .........................................................32

Else ..............................................................32

ElseIf ............................................................33

EndFor .........................................................33

EndFunc ......................................................33

EndIf ............................................................33

EndLoop ......................................................33

EndPrgm .....................................................33

EndTry .........................................................33

EndWhile ....................................................33

euler() .........................................................34

Exit ..............................................................34

exp() ............................................................35

expr() ...........................................................35

ExpReg ........................................................35

F

factor() ........................................................36

FCdf() ..........................................................36

Fill ................................................................36

FiveNumSummary ......................................37

floor() ..........................................................37

For ...............................................................38

format() ......................................................38

fPart() ..........................................................38

FPdf() ..........................................................38

freqTable4list() ............................................39

frequency() .................................................39

FTest_2Samp ..............................................39

Func .............................................................40

G

gcd() ............................................................40

geomCdf() ...................................................41

geomPdf() ...................................................41

getDenom() ................................................41

getLangInfo() .............................................41

getLockInfo() ..............................................42

getMode() ...................................................42

getNum() ....................................................43

getType() ....................................................43

getVarInfo() ................................................43

Goto ............................................................44

4Grad ...........................................................44

I

identity() .....................................................45

If ..................................................................45

ifFn() ............................................................46

imag() ..........................................................46

Indirection ..................................................47

inString() .....................................................47

int() .............................................................47

intDiv() ........................................................47

interpolate() ...............................................48

invc

2

() .........................................................48

invF() ...........................................................48

invNorm() ....................................................48

invt() ............................................................48

iPart() ..........................................................49

irr() ..............................................................49

isPrime() ......................................................49

isVoid() ....................................................... 49

L

Lbl ............................................................... 50

lcm() ............................................................ 50

left() ............................................................ 50

libShortcut() ............................................... 51

LinRegBx ..................................................... 51

LinRegMx ................................................... 52

LinRegtIntervals ......................................... 52

LinRegtTest ................................................ 54

linSolve() ..................................................... 55

@List() .......................................................... 55

list4mat() ..................................................... 55

ln() .............................................................. 55

LnReg .......................................................... 56

Local ........................................................... 57

Lock ............................................................ 57

log() ............................................................ 58

Logistic ....................................................... 58

LogisticD ..................................................... 59

Loop ............................................................ 60

LU ................................................................ 60

M

mat4list() ..................................................... 60

max() ........................................................... 61

mean() ........................................................ 61

median() ..................................................... 61

MedMed ..................................................... 62

mid() ........................................................... 62

min() ........................................................... 63

mirr() ........................................................... 63

mod() .......................................................... 64

mRow() ....................................................... 64

mRowAdd() ................................................ 64

MultReg ...................................................... 64

MultRegIntervals ....................................... 65

MultRegTests ............................................. 65

N

nCr() ............................................................ 66

nDerivative() .............................................. 67

newList() ..................................................... 67

newMat() .................................................... 67

nfMax() ....................................................... 67

nfMin() ....................................................... 68

nInt() ........................................................... 68

nom() .......................................................... 68

norm() ......................................................... 68

normCdf() ................................................... 69

normPdf() ................................................... 69

not .............................................................. 69

nPr() ............................................................ 69

npv() ........................................................... 70

nSolve() ....................................................... 70

O

OneVar ....................................................... 71

or ................................................................ 72

ord() ............................................................ 72

P

v

P4Rx() ........................................................... 72

P4Ry() ........................................................... 73

PassErr ......................................................... 73

piecewise() ..................................................73

poissCdf() ....................................................73

poissPdf() ....................................................73

4Polar .......................................................... 74

polyEval() ....................................................74

polyRoots() .................................................74

PowerReg ...................................................75

Prgm ........................................................... 76

prodSeq() ....................................................76

Product (PI) .................................................76

product() .....................................................76

propFrac() ...................................................77

Q

QR ............................................................... 77

QuadReg ..................................................... 78

QuartReg ....................................................78

R

R4Pq() .......................................................... 79

R4Pr() ...........................................................79

4Rad .............................................................80

rand() .......................................................... 80

randBin() .....................................................80

randInt() .....................................................80

randMat() ...................................................80

randNorm() .................................................80

randPoly() ...................................................81

randSamp() .................................................81

RandSeed ....................................................81

real() ...........................................................81

4Rect ............................................................ 81

ref() ............................................................. 82

remain() ...................................................... 83

Request .......................................................83

RequestStr ..................................................84

Return .........................................................84

right() .......................................................... 84

rk23() .......................................................... 85

root() ........................................................... 85

rotate() ....................................................... 85

round() ........................................................86

rowAdd() ....................................................86

rowDim() ....................................................87

rowNorm() ..................................................87

rowSwap() ..................................................87

rref() ............................................................ 87

S

sec() ............................................................. 88

sec/() ........................................................... 88

sech() ........................................................... 88

sech/() .........................................................88

seq() ............................................................ 89

seqGen() .....................................................89

seqn() .......................................................... 90

setMode() ...................................................90

shift() .......................................................... 91

sign() ........................................................... 92

simult() ........................................................92

sin() ............................................................. 93

sin/() ........................................................... 93

sinh() ........................................................... 94

sinh/() ......................................................... 94

SinReg ........................................................ 95

SortA .......................................................... 95

SortD .......................................................... 96

4Sphere ....................................................... 96

sqrt() ........................................................... 96

stat.results .................................................. 97

stat.values .................................................. 98

stDevPop() .................................................. 98

stDevSamp() ............................................... 98

Stop ............................................................ 99

Store ........................................................... 99

string() ........................................................ 99

subMat() ..................................................... 99

Sum (Sigma) ............................................... 99

sum() ........................................................... 99

sumIf() ...................................................... 100

sumSeq() ................................................... 100

system() .................................................... 100

T

T (transpose) ............................................ 100

tan() .......................................................... 101

tan/() ........................................................ 101

tanh() ........................................................ 102

tanh/() ...................................................... 102

tCdf() ........................................................ 103

Text ........................................................... 103

Then ......................................................... 103

tInterval .................................................... 103

tInterval_2Samp ....................................... 104

tPdf() ........................................................ 104

trace() ....................................................... 104

Try ............................................................. 105

tTest .......................................................... 105

tTest_2Samp ............................................. 106

tvmFV() ..................................................... 106

tvmI() ........................................................ 107

tvmN() ...................................................... 107

tvmPmt() .................................................. 107

tvmPV() ..................................................... 107

TwoVar ..................................................... 108

U

unitV() ...................................................... 109

unLock ...................................................... 109

V

varPop() .................................................... 109

varSamp() ................................................. 110

W

warnCodes() ............................................. 110

when() ...................................................... 110

While ........................................................ 111

“With” ...................................................... 111

X

xor ............................................................ 111

vi

Z

zInterval ....................................................112

zInterval_1Prop ........................................112

zInterval_2Prop ........................................113

zInterval_2Samp .......................................113

zTest ..........................................................114

zTest_1Prop ..............................................114

zTest_2Prop ..............................................115

zTest_2Samp .............................................115

Symbols

+ (add) .......................................................116

N(subtract) ................................................116

·(multiply) ...............................................117

à (divide) ...................................................117

^ (power) ..................................................118

x

2

(square) ................................................118

.+ (dot add) ...............................................119

.. (dot subt.) ..............................................119

.

·(dot mult.) .............................................119

. / (dot divide) ...........................................119

.^ (dot power) ..........................................119

L(negate) ...................................................120

% (percent) ...............................................120

= (equal) ....................................................121

ƒ (not equal) .............................................121

< (less than) ..............................................121

{ (less or equal) ........................................122

> (greater than) ........................................122

| (greater or equal) ..................................122

! (factorial) ................................................122

& (append) ................................................122

d() (derivative) ..........................................123

‰() (integral) ..............................................123

‡() (square root) .......................................123

Π() (prodSeq) ............................................124

G() (sumSeq) ..............................................124

GInt() .........................................................125

GPrn() ........................................................ 125

# (indirection) .......................................... 126

E (scientific notation) ............................... 126

g (gradian) ............................................... 126

R(radian) .................................................... 126

¡ (degree) ................................................. 127

¡, ', '' (degree/minute/second) ................. 127

± (angle) .................................................. 127

_ (underscore as an empty element) ...... 127

10^() .......................................................... 128

^/(reciprocal) ........................................... 128

| (“with”) .................................................. 128

& (store) ................................................... 129

:= (assign) ................................................. 129

0b, 0h ........................................................ 130

Empty (void) elements

Calculations involving void

elements ................................................... 131

List arguments containing void

elements ................................................... 131

Shortcuts for entering math

expressions

EOS™ (Equation Operating

System) hierarchy

Error codes and messages

Warning codes and messages

Texas Instruments Support and

Service

TI-Nspire™ Reference Guide 1

TI-Nspire™

Reference Guide

This guide lists the templates, functions, commands, and operators available for evaluating

math expressions.

Expression templates

Expression templates give you an easy way to enter math expressions in standard mathematical

notation. When you insert a template, it appears on the entry line with small blocks at positions

where you can enter elements. A cursor shows which element you can enter.

Use the arrow keys or press

e to move the cursor to each element’s position, and type a value

or expression for the element. Press

· or /· to evaluate the expression.

Fraction template

/p keys

Note: See also / (divide), page 117.

Example:

Exponent template

l key

Note: Type the first value, press l, and then type the exponent.

To return the cursor to the baseline, press right arrow (¢).

Note: See also ^ (power), page 118.

Example:

Square root template

/q keys

Note: See also ‡() (square root), page 123.

Example:

Nth root template

/l keys

Note: See also root(), page 85.

Example:

2 TI-Nspire™ Reference Guide

e exponent template

u keys

Natural exponential e raised to a power

Note: See also e^(), page 31.

Example:

Log template

/s key

Calculates log to a specified base. For a default of base 10, omit the

base.

Note: See also log(), page 58.

Example:

Piecewise template (2-piece)

Catalog >

Lets you create expressions and conditions for a two-piece piecewise

function. To add a piece, click in the template and repeat the

template.

Note: See also piecewise(), page 73.

Example:

Piecewise template (N-piece)

Catalog >

Lets you create expressions and conditions for an N-piece piecewise

function. Prompts for N.

Note: See also piecewise(), page 73.

Example:

See the example for Piecewise template (2-piece).

TI-Nspire™ Reference Guide 3

System of 2 equations template

Catalog >

Creates a system of two linear equations. To add a row to an existing

system, click in the template and repeat the template.

Note: See also system(), page 100.

Example:

System of N equations template

Catalog >

Lets you create a system of N linear equations. Prompts for N.

Note: See also system(), page 100.

Example:

See the example for System of equations template (2-equation).

Absolute value template

Catalog >

Note: See also abs(), page 6.

Example:

dd°mm’ss.ss’’ template

Catalog >

Lets you enter angles in dd°mm’ss.ss’’ format, where dd is the

number of decimal degrees, mm is the number of minutes, and ss.ss

is the number of seconds.

Example:

Matrix template (2 x 2)

Catalog >

Creates a 2 x 2 matrix.

Example:

4 TI-Nspire™ Reference Guide

Matrix template (1 x 2)

Catalog >

.

Example:

Matrix template (2 x 1)

Catalog >

Example:

Matrix template (m x n)

Catalog >

The template appears after you are prompted to specify the number

of rows and columns.

Note: If you create a matrix with a large number of rows and

columns, it may take a few moments to appear.

Example:

Sum template (G)

Catalog >

Note: See also G() (sumSeq), page 124.

Example:

Product template (Π)

Catalog >

Note: See also Π() (prodSeq), page 124.

Example:

TI-Nspire™ Reference Guide 5

First derivative template

Catalog >

The first derivative template can be used to calculate first derivative

at a point numerically, using auto differentiation methods.

Note: See also d() (derivative), page 123.

Example:

Second derivative template

Catalog >

The second derivative template can be used to calculate second

derivative at a point numerically, using auto differentiation methods.

Note: See also d() (derivative), page 123.

Example:

Definite integral template

Catalog >

The definite integral template can be used to calculate the definite

integral numerically, using the same method as nInt().

183Note: See also nInt(), page 68.

Example:

6 TI-Nspire™ Reference Guide

Alphabetical listing

Items whose names are not alphabetic (such as +, !, and >) are listed at the end of this section,

starting on page

116. Unless otherwise specified, all examples in this section were performed in

the default reset mode, and all variables are assumed to be undefined.

A

abs()

Catalog

>

abs(Va lu e 1) ⇒ value

abs(

List1) ⇒ list

abs(Matrix1) ⇒ matrix

Returns the absolute value of the argument.

Note: See also Absolute value template, page 3.

If the argument is a complex number, returns the number’s modulus.

amortTbl()

Catalog

>

amortTbl(NPmt,N,I,PV, [Pmt], [FV], [PpY], [CpY], [PmtAt],

[

roundValue]) ⇒ matrix

Amortization function that returns a matrix as an amortization table

for a set of TVM arguments.

NPmt is the number of payments to be included in the table. The

table starts with the first payment.

N, I, PV, Pmt, FV, PpY, CpY, and PmtAt are described in the table

of TVM arguments, page 107.

• If you omit Pmt, it defaults to

Pmt=tvmPmt(N,I,PV,FV,PpY,CpY,PmtAt).

• If you omit FV, it defaults to FV=0.

• The defaults for PpY, CpY, and PmtAt are the same as for the

TVM functions.

roundValue specifies the number of decimal places for rounding.

Default=2.

The columns in the result matrix are in this order: Payment number,

amount paid to interest, amount paid to principal, and balance.

The balance displayed in row n is the balance after payment n.

You can use the output matrix as input for the other amortization

functions GInt() and GPrn(), page 125, and bal(), page 12.

and

Catalog

>

BooleanExpr1 and BooleanExpr2 ⇒ Boolean expression

BooleanList1 and BooleanList2 ⇒ Boolean list

BooleanMatrix1 and BooleanMatrix2 ⇒ Boolean matrix

Returns true or false or a simplified form of the original entry.

TI-Nspire™ Reference Guide 7

Integer1 and Integer2 ⇒ integer

Compares two real integers bit-by-bit using an and operation.

Internally, both integers are converted to signed, 64-bit binary

numbers. When corresponding bits are compared, the result is 1 if

both bits are 1; otherwise, the result is 0. The returned value

represents the bit results, and is displayed according to the Base

mode.

You can enter the integers in any number base. For a binary or

hexadecimal entry, you must use the 0b or 0h prefix, respectively.

Without a prefix, integers are treated as decimal (base 10).

In Hex base mode:

Important: Zero, not the letter O.

In Bin base mode:

In Dec base mode:

Note: A binary entry can have up to 64 digits (not counting the

0b prefix). A hexadecimal entry can have up to 16 digits.

angle()

Catalog

>

angle(Va lu e 1) ⇒ value

Returns the angle of the argument, interpreting the argument as a

complex number.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

angle(List1) ⇒ list

angle(Matrix1) ⇒ matrix

Returns a list or matrix of angles of the elements in List1 or Matrix1,

interpreting each element as a complex number that represents a

two-dimensional rectangular coordinate point.

ANOVA

Catalog

>

ANOVA List1,List2[,List3,...,List20][,Flag]

Performs a one-way analysis of variance for comparing the means of

two to 20 populations. A summary of results is stored in the

stat.results variable. (See page 97.)

Flag=0 for Data, Flag=1 for Stats

Output variable Description

stat.F Value of the F statistic

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.df Degrees of freedom of the groups

stat.SS Sum of squares of the groups

stat.MS Mean squares for the groups

stat.dfError Degrees of freedom of the errors

and

Catalog

>

8 TI-Nspire™ Reference Guide

Outputs: Block Design

COLUMN FACTOR Outputs

stat.SSError Sum of squares of the errors

stat.MSError Mean square for the errors

stat.sp Pooled standard deviation

stat.xbarlist Mean of the input of the lists

stat.CLowerList 95% confidence intervals for the mean of each input list

stat.CUpperList 95% confidence intervals for the mean of each input list

ANOVA2way

Catalog

>

ANOVA2way List1,List2[,List3,…,List10][,levRow]

Computes a two-way analysis of variance for comparing the means of

two to 10 populations. A summary of results is stored in the

stat.results variable. (See page 97.)

LevRow=0 for Block

LevRow=2,3,...,Len-1, for Two Factor, where

Len=length(List1)=length(List2) = … = length(List10) and

Len / LevRow ∈ {2,3,…}

Output variable Description

stat.FF statistic of the column factor

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.df Degrees of freedom of the column factor

stat.SS Sum of squares of the column factor

stat.MS Mean squares for column factor

stat.FBlock F statistic for factor

stat.PValBlock Least probability at which the null hypothesis can be rejected

stat.dfBlock Degrees of freedom for factor

stat.SSBlock Sum of squares for factor

stat.MSBlock Mean squares for factor

stat.dfError Degrees of freedom of the errors

stat.SSError Sum of squares of the errors

stat.MSError Mean squares for the errors

stat.s Standard deviation of the error

Output variable Description

stat.Fcol F statistic of the column factor

Output variable Description

TI-Nspire™ Reference Guide 9

ROW FACTOR Outputs

INTERACTION Outputs

ERROR Outputs

stat.PValCol Probability value of the column factor

stat.dfCol Degrees of freedom of the column factor

stat.SSCol Sum of squares of the column factor

stat.MSCol Mean squares for column factor

Output variable Description

stat.FRow F statistic of the row factor

stat.PValRow Probability value of the row factor

stat.dfRow Degrees of freedom of the row factor

stat.SSRow Sum of squares of the row factor

stat.MSRow Mean squares for row factor

Output variable Description

stat.FInteract F statistic of the interaction

stat.PValInteract Probability value of the interaction

stat.dfInteract Degrees of freedom of the interaction

stat.SSInteract Sum of squares of the interaction

stat.MSInteract Mean squares for interaction

Output variable Description

stat.dfError Degrees of freedom of the errors

stat.SSError Sum of squares of the errors

stat.MSError Mean squares for the errors

s Standard deviation of the error

Ans

/v

keys

Ans ⇒ value

Returns the result of the most recently evaluated expression.

Output variable Description

10 TI-Nspire™ Reference Guide

approx()

Catalog

>

approx(Va lu e 1) ⇒ number

Returns the evaluation of the argument as an expression containing

decimal values, when possible, regardless of the current Auto or

Approximate

mode.

This is equivalent to entering the argument and pressing

/

·

.

approx(List1) ⇒ list

approx(Matrix1) ⇒ matrix

Returns a list or matrix where each element has been evaluated to a

decimal value, when possible.

4approxFraction()

Catalog

>

Va lu e

4

approxFraction([Tol]) ⇒ value

List

4

approxFraction([Tol]) ⇒ list

Matrix

4

approxFraction([Tol]) ⇒ matrix

Returns the input as a fraction, using a tolerance of To l. If Tol is

omitted, a tolerance of 5.E-14 is used.

Note: You can insert this function from the computer keyboard by

typing @>approxFraction(...).

approxRational()

Catalog

>

approxRational(Val ue [, Tol]) ⇒ value

approxRational(List[, Tol]) ⇒ list

approxRational(Matrix[, Tol]) ⇒ matrix

Returns the argument as a fraction using a tolerance of Tol . If Tol is

omitted, a tolerance of 5.E-14 is used.

arccos()

See cos

/

(), page

20

.

arccosh()

See cosh

/

(), page

21

.

arccot()

See cot

/

(), page

22

.

TI-Nspire™ Reference Guide 11

arccoth()

See coth

/

(), page

22

.

arccsc()

See csc

/

(), page

24

.

arccsch()

See csch

/

(), page

24

.

arcsec()

See sec

/

(), page

88

.

arcsech()

See sech

/

(), page

88

.

arcsin()

See sin

/

(), page

93

.

arcsinh()

See sinh

/

(), page

94

.

arctan()

See tan

/

(), page

101

.

arctanh()

See tanh

/

(), page

102

.

augment()

Catalog

>

augment(List1, List2) ⇒ list

Returns a new list that is List2 appended to the end of List1.

augment(Matrix1, Matrix2) ⇒ matrix

Returns a new matrix that is Matrix2 appended to Matrix1. When

the “,” character is used, the matrices must have equal row

dimensions, and Matrix2 is appended to Matrix1 as new columns.

Does not alter Matrix1 or Matrix2.

12 TI-Nspire™ Reference Guide

B

avgRC()

Catalog

>

avgRC(Expr1, Va r [=Value] [, Step]) ⇒ expression

avgRC(Expr1, Va r [=Value] [, List1]) ⇒ list

avgRC(List1, Va r [=Value] [, Step]) ⇒ list

avgRC(Matrix1, Va r [=Value] [, Step]) ⇒ matrix

Returns the forward-difference quotient (average rate of change).

Expr1 can be a user-defined function name (see Func).

When Val u e is specified, it overrides any prior variable assignment or

any current “with” substitution for the variable.

Step is the step value. If Step is omitted, it defaults to 0.001.

Note that the similar function centralDiff() uses the central-

difference quotient.

bal()

Catalog

>

bal(NPmt,N,I,PV ,[Pmt], [FV], [PpY], [CpY], [PmtAt],

[

roundValue]) ⇒ value

bal(NPmt,amortTable) ⇒ value

Amortization function that calculates schedule balance after a

specified payment.

N, I, PV, Pmt, FV, PpY, CpY, and PmtAt are described in the table

of TVM arguments, page 107.

NPmt specifies the payment number after which you want the data

calculated.

N, I, PV, Pmt, FV, PpY, CpY, and PmtAt are described in the table

of TVM arguments, page 107.

• If you omit Pmt, it defaults to

Pmt=tvmPmt(N,I,PV,FV,PpY,CpY,PmtAt).

• If you omit FV, it defaults to FV=0.

• The defaults for PpY, CpY, and PmtAt are the same as for the

TVM functions.

roundValue specifies the number of decimal places for rounding.

Default=2.

bal(NPmt,amortTable) calculates the balance after payment number

NPmt, based on amortization table amortTable. The amortTable

argument must be a matrix in the form described under amortTbl(),

page 6.

Note: See also GInt() and GPrn(), page 125.

4

Base2

Catalog

>

Integer1 4Base2 ⇒ integer

Note: You can insert this operator from the computer keyboard by

typing @>Base2.

Converts Integer1 to a binary number. Binary or hexadecimal

numbers always have a 0b or 0h prefix, respectively.

TI-Nspire™ Reference Guide 13

Without a prefix, Integer1 is treated as decimal (base 10). The result

is displayed in binary, regardless of the Base mode.

Negative numbers are displayed in “two's complement” form. For

example,

N1 is displayed as

0hFFFFFFFFFFFFFFFF in Hex base mode

0b111...111 (64 1’s) in Binary base mode

N2

63

is displayed as

0h8000000000000000 in Hex base mode

0b100...000 (63 zeros) in Binary base mode

If you enter a decimal integer that is outside the range of a signed,

64-bit binary form, a symmetric modulo operation is used to bring the

value into the appropriate range. Consider the following examples of

values outside the range.

2

63

becomes N2

63

and is displayed as

0h8000000000000000 in Hex base mode

0b100...000 (63 zeros) in Binary base mode

2

64

becomes 0 and is displayed as

0h0 in Hex base mode

0b0 in Binary base mode

N2

63

N 1 becomes 2

63

N 1 and is displayed as

0h7FFFFFFFFFFFFFFF in Hex base mode

0b111...111 (64 1’s) in Binary base mode

4Base10

Catalog

>

Integer1 4Base10 ⇒ integer

Note: You can insert this operator from the computer keyboard by

typing @>Base10.

Converts Integer1 to a decimal (base 10) number. A binary or

hexadecimal entry must always have a 0b or 0h prefix, respectively.

0b binaryNumber

0h hexadecimalNumber

Zero, not the letter O, followed by b or h.

A binary number can have up to 64 digits. A hexadecimal number can

have up to 16.

Without a prefix, Integer1 is treated as decimal. The result is

displayed in decimal, regardless of the Base mode.

4

Base2

Catalog

>

Zero, not the letter O, followed by b or h.

A binary number can have up to 64 digits. A

hexadecimal number can have up to 16.

0b binaryNumber

0h hexadecimalNumber

14 TI-Nspire™ Reference Guide

C

4Base16

Catalog

>

Integer1

4Base16 ⇒ integer

Note: You can insert this operator from the computer keyboard by

typing @>Base16.

Converts Integer1 to a hexadecimal number. Binary or hexadecimal

numbers always have a 0b or 0h prefix, respectively.

0b binaryNumber

0h hexadecimalNumber

Zero, not the letter O, followed by b or h.

A binary number can have up to 64 digits. A hexadecimal number can

have up to 16.

Without a prefix, Integer1 is treated as decimal (base 10). The result

is displayed in hexadecimal, regardless of the Base mode.

If you enter a decimal integer that is too large for a signed, 64-bit

binary form, a symmetric modulo operation is used to bring the value

into the appropriate range. For more information, see

4Base2,

page 12.

binomCdf()

Catalog

>

binomCdf(n,p) ⇒ number

binomCdf(n,p,lowBound,upBound) ⇒ number if lowBound

and

upBound are numbers, list if lowBound and upBound are

lists

binomCdf(

n,p,upBound) for P(0{X{upBound) ⇒ number if

upBound is a number, list if upBound is a list

Computes a cumulative probability for the discrete binomial

distribution with n number of trials and probability p of success on

each trial.

For P(X { upBound), set lowBound=0

binomPdf()

Catalog

>

binomPdf(n,p) ⇒ number

binomPdf(n,p,XVal) ⇒ number if XVal is a number, list if

XVal is a list

Computes a probability for the discrete binomial distribution with n

number of trials and probability p of success on each trial.

ceiling()

Catalog

>

ceiling(Val ue 1) ⇒ value

Returns the nearest integer that is | the argument.

The argument can be a real or a complex number.

Note: See also floor().

ceiling(List1) ⇒ list

ceiling(Matrix1) ⇒ matrix

Returns a list or matrix of the ceiling of each element.

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Texas Instruments TI-Nspire Reference guide

Texas Instruments TI-Nspire Reference guide

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